A discrete variational principle for rate-independent evolution
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 1295 | |
dc.contributor.author | Mielke, Alexander | |
dc.contributor.author | Stefanelli, Ulisse | |
dc.date.accessioned | 2016-03-24T17:38:20Z | |
dc.date.available | 2019-06-28T08:02:58Z | |
dc.date.issued | 2008 | |
dc.description.abstract | We develop a global-in-time variational approach to the time-discretization of rate-independent processes. In particular, we investigate a discrete version of the variational principle based on the weighted energy-dissipation functional introduced by A. Mielke and M. Ortiz in ESAIM Control Optim. Calc. Var., 2008. We prove the conditional convergence of time-discrete approximate minimizers to energetic solutions of the time-continuous problem. Moreover, the convergence result is combined with approximation and relaxation. For a fixed partition the functional is shown to have an asymptotic development by Gamma convergence, cf. G. Anzellotti and S. Baldo (Appl. Math. Optim., 1993), in the limit of vanishing viscosity. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.uri | https://doi.org/10.34657/1818 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1952 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Variational Principle | eng |
dc.subject.other | rate-independent process | eng |
dc.subject.other | time-discretization | eng |
dc.title | A discrete variational principle for rate-independent evolution | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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